Search a number
-
+
141134322400 = 25521459120917
BaseRepresentation
bin1000001101110001000…
…0101101101011100000
3111111021220010102112221
42003130100231223200
54303020341304100
6144500342200424
713124303642461
oct2033420555340
9444256112487
10141134322400
1154944711375
1223429723114
131040289c196
146b8c142d68
153a105d701a
hex20dc42dae0

141134322400 has 72 divisors (see below), whose sum is σ = 344783166840. Its totient is φ = 56414568960.

The previous prime is 141134322391. The next prime is 141134322403. The reversal of 141134322400 is 4223431141.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141134322403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1106742 + ... + 1227658.

It is an arithmetic number, because the mean of its divisors is an integer number (4788655095).

Almost surely, 2141134322400 is an apocalyptic number.

141134322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141134322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172391583420).

141134322400 is an abundant number, since it is smaller than the sum of its proper divisors (203648844440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141134322400 is a wasteful number, since it uses less digits than its factorization.

141134322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122396 (or 122383 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 141134322400 its reverse (4223431141), we get a palindrome (145357753541).

The spelling of 141134322400 in words is "one hundred forty-one billion, one hundred thirty-four million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1459 2918 5836 7295 11672 14590 23344 29180 36475 46688 58360 72950 116720 120917 145900 233440 241834 291800 483668 583600 604585 967336 1167200 1209170 1934672 2418340 3022925 3869344 4836680 6045850 9673360 12091700 19346720 24183400 48366800 96733600 176417903 352835806 705671612 882089515 1411343224 1764179030 2822686448 3528358060 4410447575 5645372896 7056716120 8820895150 14113432240 17641790300 28226864480 35283580600 70567161200 141134322400